A carousel with a 45foot diameter makes 4 revolutions per mi

A carousel with a 45-foot diameter makes 4 revolutions per minute. Find the angular speed of the carousel in radians per minute. (Round your answer to two decimal places.) Find the linear speed (in feet per minute) of the platform rim of the carousel. (Round your answer to two decimal places.)

Solution

a) 4 rev /min

w=(4*2) rad/min

w=25.13 rad/min

b)diameter d =45

radius r =d/2

r=45/2

r=22.5 ft

linear speed v =r w

linear speed v =22.5*25.13

linear speed v =565.50 feet/min